Severi Degrees in Cogenus 3

Mathematics – Algebraic Geometry

Scientific paper

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AMSLaTex 12 pages

Scientific paper

In this short note, a new computation of the degree of the locus of 3-nodal plane curves in the linear system of degree d plane curves is given. The answer is expressed as a tautological class on a blow-up of the Hilbert scheme of 3 points in the plane. The class is evaluated by the Bott residue formula.

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